A simple floor framing system is shown in Figure $1.$ Specified dead loads are as follows:

floor finish $=0\mathrm{.}50$ kPa

concrete cover slab and steel deck $=2\mathrm{.}0$ kPa

mechanical and suspended ceiling $=1\mathrm{.}0$ kPa

partition allowance $=2\mathrm{.}5$ kPa

The mass of steel beam BM$2$ may be taken as $150$ kg$/$m$,$ and the mass of girder G$3$ may be taken as $250$

kg$/$m$.$ All beams and girders are simply supported. The building is to be used for reading and study rooms of a

library with the possibility of moveable partitions. Assume that this module is repeated every $7\mathrm{.}5$ and $6\mathrm{.}0$

meters in x$-$direction and y$-$direction, respectively.

Evaluate:

i$.$ Design moment and shear force for the girder G$3$ using the load combination $(1\mathrm{.}25$D $+1\mathrm{.}5$L$)$